/*
 * Copyright (c) Meta Platforms, Inc. and affiliates.
 * All rights reserved.
 *
 * This source code is licensed under the BSD-style license found in the
 * LICENSE file in the root directory of this source tree.
 */

#pragma once
using uint = unsigned int;

// A table mapping from cubeindex to a list of face configurations.
// Each list contains at most 5 faces, where each face is represented with
// 3 consecutive numbers
// Table adapted from http://paulbourke.net/geometry/polygonise/
//
#define X 255
const unsigned char _FACE_TABLE[256][16] = {
    {X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {0, 8, 3, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {0, 1, 9, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {1, 8, 3, 9, 8, 1, X, X, X, X, X, X, X, X, X, X},
    {1, 2, 10, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {0, 8, 3, 1, 2, 10, X, X, X, X, X, X, X, X, X, X},
    {9, 2, 10, 0, 2, 9, X, X, X, X, X, X, X, X, X, X},
    {2, 8, 3, 2, 10, 8, 10, 9, 8, X, X, X, X, X, X, X},
    {3, 11, 2, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {0, 11, 2, 8, 11, 0, X, X, X, X, X, X, X, X, X, X},
    {1, 9, 0, 2, 3, 11, X, X, X, X, X, X, X, X, X, X},
    {1, 11, 2, 1, 9, 11, 9, 8, 11, X, X, X, X, X, X, X},
    {3, 10, 1, 11, 10, 3, X, X, X, X, X, X, X, X, X, X},
    {0, 10, 1, 0, 8, 10, 8, 11, 10, X, X, X, X, X, X, X},
    {3, 9, 0, 3, 11, 9, 11, 10, 9, X, X, X, X, X, X, X},
    {9, 8, 10, 10, 8, 11, X, X, X, X, X, X, X, X, X, X},
    {4, 7, 8, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {4, 3, 0, 7, 3, 4, X, X, X, X, X, X, X, X, X, X},
    {0, 1, 9, 8, 4, 7, X, X, X, X, X, X, X, X, X, X},
    {4, 1, 9, 4, 7, 1, 7, 3, 1, X, X, X, X, X, X, X},
    {1, 2, 10, 8, 4, 7, X, X, X, X, X, X, X, X, X, X},
    {3, 4, 7, 3, 0, 4, 1, 2, 10, X, X, X, X, X, X, X},
    {9, 2, 10, 9, 0, 2, 8, 4, 7, X, X, X, X, X, X, X},
    {2, 10, 9, 2, 9, 7, 2, 7, 3, 7, 9, 4, X, X, X, X},
    {8, 4, 7, 3, 11, 2, X, X, X, X, X, X, X, X, X, X},
    {11, 4, 7, 11, 2, 4, 2, 0, 4, X, X, X, X, X, X, X},
    {9, 0, 1, 8, 4, 7, 2, 3, 11, X, X, X, X, X, X, X},
    {4, 7, 11, 9, 4, 11, 9, 11, 2, 9, 2, 1, X, X, X, X},
    {3, 10, 1, 3, 11, 10, 7, 8, 4, X, X, X, X, X, X, X},
    {1, 11, 10, 1, 4, 11, 1, 0, 4, 7, 11, 4, X, X, X, X},
    {4, 7, 8, 9, 0, 11, 9, 11, 10, 11, 0, 3, X, X, X, X},
    {4, 7, 11, 4, 11, 9, 9, 11, 10, X, X, X, X, X, X, X},
    {9, 5, 4, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {9, 5, 4, 0, 8, 3, X, X, X, X, X, X, X, X, X, X},
    {0, 5, 4, 1, 5, 0, X, X, X, X, X, X, X, X, X, X},
    {8, 5, 4, 8, 3, 5, 3, 1, 5, X, X, X, X, X, X, X},
    {1, 2, 10, 9, 5, 4, X, X, X, X, X, X, X, X, X, X},
    {3, 0, 8, 1, 2, 10, 4, 9, 5, X, X, X, X, X, X, X},
    {5, 2, 10, 5, 4, 2, 4, 0, 2, X, X, X, X, X, X, X},
    {2, 10, 5, 3, 2, 5, 3, 5, 4, 3, 4, 8, X, X, X, X},
    {9, 5, 4, 2, 3, 11, X, X, X, X, X, X, X, X, X, X},
    {0, 11, 2, 0, 8, 11, 4, 9, 5, X, X, X, X, X, X, X},
    {0, 5, 4, 0, 1, 5, 2, 3, 11, X, X, X, X, X, X, X},
    {2, 1, 5, 2, 5, 8, 2, 8, 11, 4, 8, 5, X, X, X, X},
    {10, 3, 11, 10, 1, 3, 9, 5, 4, X, X, X, X, X, X, X},
    {4, 9, 5, 0, 8, 1, 8, 10, 1, 8, 11, 10, X, X, X, X},
    {5, 4, 0, 5, 0, 11, 5, 11, 10, 11, 0, 3, X, X, X, X},
    {5, 4, 8, 5, 8, 10, 10, 8, 11, X, X, X, X, X, X, X},
    {9, 7, 8, 5, 7, 9, X, X, X, X, X, X, X, X, X, X},
    {9, 3, 0, 9, 5, 3, 5, 7, 3, X, X, X, X, X, X, X},
    {0, 7, 8, 0, 1, 7, 1, 5, 7, X, X, X, X, X, X, X},
    {1, 5, 3, 3, 5, 7, X, X, X, X, X, X, X, X, X, X},
    {9, 7, 8, 9, 5, 7, 10, 1, 2, X, X, X, X, X, X, X},
    {10, 1, 2, 9, 5, 0, 5, 3, 0, 5, 7, 3, X, X, X, X},
    {8, 0, 2, 8, 2, 5, 8, 5, 7, 10, 5, 2, X, X, X, X},
    {2, 10, 5, 2, 5, 3, 3, 5, 7, X, X, X, X, X, X, X},
    {7, 9, 5, 7, 8, 9, 3, 11, 2, X, X, X, X, X, X, X},
    {9, 5, 7, 9, 7, 2, 9, 2, 0, 2, 7, 11, X, X, X, X},
    {2, 3, 11, 0, 1, 8, 1, 7, 8, 1, 5, 7, X, X, X, X},
    {11, 2, 1, 11, 1, 7, 7, 1, 5, X, X, X, X, X, X, X},
    {9, 5, 8, 8, 5, 7, 10, 1, 3, 10, 3, 11, X, X, X, X},
    {5, 7, 0, 5, 0, 9, 7, 11, 0, 1, 0, 10, 11, 10, 0, X},
    {11, 10, 0, 11, 0, 3, 10, 5, 0, 8, 0, 7, 5, 7, 0, X},
    {11, 10, 5, 7, 11, 5, X, X, X, X, X, X, X, X, X, X},
    {10, 6, 5, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {0, 8, 3, 5, 10, 6, X, X, X, X, X, X, X, X, X, X},
    {9, 0, 1, 5, 10, 6, X, X, X, X, X, X, X, X, X, X},
    {1, 8, 3, 1, 9, 8, 5, 10, 6, X, X, X, X, X, X, X},
    {1, 6, 5, 2, 6, 1, X, X, X, X, X, X, X, X, X, X},
    {1, 6, 5, 1, 2, 6, 3, 0, 8, X, X, X, X, X, X, X},
    {9, 6, 5, 9, 0, 6, 0, 2, 6, X, X, X, X, X, X, X},
    {5, 9, 8, 5, 8, 2, 5, 2, 6, 3, 2, 8, X, X, X, X},
    {2, 3, 11, 10, 6, 5, X, X, X, X, X, X, X, X, X, X},
    {11, 0, 8, 11, 2, 0, 10, 6, 5, X, X, X, X, X, X, X},
    {0, 1, 9, 2, 3, 11, 5, 10, 6, X, X, X, X, X, X, X},
    {5, 10, 6, 1, 9, 2, 9, 11, 2, 9, 8, 11, X, X, X, X},
    {6, 3, 11, 6, 5, 3, 5, 1, 3, X, X, X, X, X, X, X},
    {0, 8, 11, 0, 11, 5, 0, 5, 1, 5, 11, 6, X, X, X, X},
    {3, 11, 6, 0, 3, 6, 0, 6, 5, 0, 5, 9, X, X, X, X},
    {6, 5, 9, 6, 9, 11, 11, 9, 8, X, X, X, X, X, X, X},
    {5, 10, 6, 4, 7, 8, X, X, X, X, X, X, X, X, X, X},
    {4, 3, 0, 4, 7, 3, 6, 5, 10, X, X, X, X, X, X, X},
    {1, 9, 0, 5, 10, 6, 8, 4, 7, X, X, X, X, X, X, X},
    {10, 6, 5, 1, 9, 7, 1, 7, 3, 7, 9, 4, X, X, X, X},
    {6, 1, 2, 6, 5, 1, 4, 7, 8, X, X, X, X, X, X, X},
    {1, 2, 5, 5, 2, 6, 3, 0, 4, 3, 4, 7, X, X, X, X},
    {8, 4, 7, 9, 0, 5, 0, 6, 5, 0, 2, 6, X, X, X, X},
    {7, 3, 9, 7, 9, 4, 3, 2, 9, 5, 9, 6, 2, 6, 9, X},
    {3, 11, 2, 7, 8, 4, 10, 6, 5, X, X, X, X, X, X, X},
    {5, 10, 6, 4, 7, 2, 4, 2, 0, 2, 7, 11, X, X, X, X},
    {0, 1, 9, 4, 7, 8, 2, 3, 11, 5, 10, 6, X, X, X, X},
    {9, 2, 1, 9, 11, 2, 9, 4, 11, 7, 11, 4, 5, 10, 6, X},
    {8, 4, 7, 3, 11, 5, 3, 5, 1, 5, 11, 6, X, X, X, X},
    {5, 1, 11, 5, 11, 6, 1, 0, 11, 7, 11, 4, 0, 4, 11, X},
    {0, 5, 9, 0, 6, 5, 0, 3, 6, 11, 6, 3, 8, 4, 7, X},
    {6, 5, 9, 6, 9, 11, 4, 7, 9, 7, 11, 9, X, X, X, X},
    {10, 4, 9, 6, 4, 10, X, X, X, X, X, X, X, X, X, X},
    {4, 10, 6, 4, 9, 10, 0, 8, 3, X, X, X, X, X, X, X},
    {10, 0, 1, 10, 6, 0, 6, 4, 0, X, X, X, X, X, X, X},
    {8, 3, 1, 8, 1, 6, 8, 6, 4, 6, 1, 10, X, X, X, X},
    {1, 4, 9, 1, 2, 4, 2, 6, 4, X, X, X, X, X, X, X},
    {3, 0, 8, 1, 2, 9, 2, 4, 9, 2, 6, 4, X, X, X, X},
    {0, 2, 4, 4, 2, 6, X, X, X, X, X, X, X, X, X, X},
    {8, 3, 2, 8, 2, 4, 4, 2, 6, X, X, X, X, X, X, X},
    {10, 4, 9, 10, 6, 4, 11, 2, 3, X, X, X, X, X, X, X},
    {0, 8, 2, 2, 8, 11, 4, 9, 10, 4, 10, 6, X, X, X, X},
    {3, 11, 2, 0, 1, 6, 0, 6, 4, 6, 1, 10, X, X, X, X},
    {6, 4, 1, 6, 1, 10, 4, 8, 1, 2, 1, 11, 8, 11, 1, X},
    {9, 6, 4, 9, 3, 6, 9, 1, 3, 11, 6, 3, X, X, X, X},
    {8, 11, 1, 8, 1, 0, 11, 6, 1, 9, 1, 4, 6, 4, 1, X},
    {3, 11, 6, 3, 6, 0, 0, 6, 4, X, X, X, X, X, X, X},
    {6, 4, 8, 11, 6, 8, X, X, X, X, X, X, X, X, X, X},
    {7, 10, 6, 7, 8, 10, 8, 9, 10, X, X, X, X, X, X, X},
    {0, 7, 3, 0, 10, 7, 0, 9, 10, 6, 7, 10, X, X, X, X},
    {10, 6, 7, 1, 10, 7, 1, 7, 8, 1, 8, 0, X, X, X, X},
    {10, 6, 7, 10, 7, 1, 1, 7, 3, X, X, X, X, X, X, X},
    {1, 2, 6, 1, 6, 8, 1, 8, 9, 8, 6, 7, X, X, X, X},
    {2, 6, 9, 2, 9, 1, 6, 7, 9, 0, 9, 3, 7, 3, 9, X},
    {7, 8, 0, 7, 0, 6, 6, 0, 2, X, X, X, X, X, X, X},
    {7, 3, 2, 6, 7, 2, X, X, X, X, X, X, X, X, X, X},
    {2, 3, 11, 10, 6, 8, 10, 8, 9, 8, 6, 7, X, X, X, X},
    {2, 0, 7, 2, 7, 11, 0, 9, 7, 6, 7, 10, 9, 10, 7, X},
    {1, 8, 0, 1, 7, 8, 1, 10, 7, 6, 7, 10, 2, 3, 11, X},
    {11, 2, 1, 11, 1, 7, 10, 6, 1, 6, 7, 1, X, X, X, X},
    {8, 9, 6, 8, 6, 7, 9, 1, 6, 11, 6, 3, 1, 3, 6, X},
    {0, 9, 1, 11, 6, 7, X, X, X, X, X, X, X, X, X, X},
    {7, 8, 0, 7, 0, 6, 3, 11, 0, 11, 6, 0, X, X, X, X},
    {7, 11, 6, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {7, 6, 11, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {3, 0, 8, 11, 7, 6, X, X, X, X, X, X, X, X, X, X},
    {0, 1, 9, 11, 7, 6, X, X, X, X, X, X, X, X, X, X},
    {8, 1, 9, 8, 3, 1, 11, 7, 6, X, X, X, X, X, X, X},
    {10, 1, 2, 6, 11, 7, X, X, X, X, X, X, X, X, X, X},
    {1, 2, 10, 3, 0, 8, 6, 11, 7, X, X, X, X, X, X, X},
    {2, 9, 0, 2, 10, 9, 6, 11, 7, X, X, X, X, X, X, X},
    {6, 11, 7, 2, 10, 3, 10, 8, 3, 10, 9, 8, X, X, X, X},
    {7, 2, 3, 6, 2, 7, X, X, X, X, X, X, X, X, X, X},
    {7, 0, 8, 7, 6, 0, 6, 2, 0, X, X, X, X, X, X, X},
    {2, 7, 6, 2, 3, 7, 0, 1, 9, X, X, X, X, X, X, X},
    {1, 6, 2, 1, 8, 6, 1, 9, 8, 8, 7, 6, X, X, X, X},
    {10, 7, 6, 10, 1, 7, 1, 3, 7, X, X, X, X, X, X, X},
    {10, 7, 6, 1, 7, 10, 1, 8, 7, 1, 0, 8, X, X, X, X},
    {0, 3, 7, 0, 7, 10, 0, 10, 9, 6, 10, 7, X, X, X, X},
    {7, 6, 10, 7, 10, 8, 8, 10, 9, X, X, X, X, X, X, X},
    {6, 8, 4, 11, 8, 6, X, X, X, X, X, X, X, X, X, X},
    {3, 6, 11, 3, 0, 6, 0, 4, 6, X, X, X, X, X, X, X},
    {8, 6, 11, 8, 4, 6, 9, 0, 1, X, X, X, X, X, X, X},
    {9, 4, 6, 9, 6, 3, 9, 3, 1, 11, 3, 6, X, X, X, X},
    {6, 8, 4, 6, 11, 8, 2, 10, 1, X, X, X, X, X, X, X},
    {1, 2, 10, 3, 0, 11, 0, 6, 11, 0, 4, 6, X, X, X, X},
    {4, 11, 8, 4, 6, 11, 0, 2, 9, 2, 10, 9, X, X, X, X},
    {10, 9, 3, 10, 3, 2, 9, 4, 3, 11, 3, 6, 4, 6, 3, X},
    {8, 2, 3, 8, 4, 2, 4, 6, 2, X, X, X, X, X, X, X},
    {0, 4, 2, 4, 6, 2, X, X, X, X, X, X, X, X, X, X},
    {1, 9, 0, 2, 3, 4, 2, 4, 6, 4, 3, 8, X, X, X, X},
    {1, 9, 4, 1, 4, 2, 2, 4, 6, X, X, X, X, X, X, X},
    {8, 1, 3, 8, 6, 1, 8, 4, 6, 6, 10, 1, X, X, X, X},
    {10, 1, 0, 10, 0, 6, 6, 0, 4, X, X, X, X, X, X, X},
    {4, 6, 3, 4, 3, 8, 6, 10, 3, 0, 3, 9, 10, 9, 3, X},
    {10, 9, 4, 6, 10, 4, X, X, X, X, X, X, X, X, X, X},
    {4, 9, 5, 7, 6, 11, X, X, X, X, X, X, X, X, X, X},
    {0, 8, 3, 4, 9, 5, 11, 7, 6, X, X, X, X, X, X, X},
    {5, 0, 1, 5, 4, 0, 7, 6, 11, X, X, X, X, X, X, X},
    {11, 7, 6, 8, 3, 4, 3, 5, 4, 3, 1, 5, X, X, X, X},
    {9, 5, 4, 10, 1, 2, 7, 6, 11, X, X, X, X, X, X, X},
    {6, 11, 7, 1, 2, 10, 0, 8, 3, 4, 9, 5, X, X, X, X},
    {7, 6, 11, 5, 4, 10, 4, 2, 10, 4, 0, 2, X, X, X, X},
    {3, 4, 8, 3, 5, 4, 3, 2, 5, 10, 5, 2, 11, 7, 6, X},
    {7, 2, 3, 7, 6, 2, 5, 4, 9, X, X, X, X, X, X, X},
    {9, 5, 4, 0, 8, 6, 0, 6, 2, 6, 8, 7, X, X, X, X},
    {3, 6, 2, 3, 7, 6, 1, 5, 0, 5, 4, 0, X, X, X, X},
    {6, 2, 8, 6, 8, 7, 2, 1, 8, 4, 8, 5, 1, 5, 8, X},
    {9, 5, 4, 10, 1, 6, 1, 7, 6, 1, 3, 7, X, X, X, X},
    {1, 6, 10, 1, 7, 6, 1, 0, 7, 8, 7, 0, 9, 5, 4, X},
    {4, 0, 10, 4, 10, 5, 0, 3, 10, 6, 10, 7, 3, 7, 10, X},
    {7, 6, 10, 7, 10, 8, 5, 4, 10, 4, 8, 10, X, X, X, X},
    {6, 9, 5, 6, 11, 9, 11, 8, 9, X, X, X, X, X, X, X},
    {3, 6, 11, 0, 6, 3, 0, 5, 6, 0, 9, 5, X, X, X, X},
    {0, 11, 8, 0, 5, 11, 0, 1, 5, 5, 6, 11, X, X, X, X},
    {6, 11, 3, 6, 3, 5, 5, 3, 1, X, X, X, X, X, X, X},
    {1, 2, 10, 9, 5, 11, 9, 11, 8, 11, 5, 6, X, X, X, X},
    {0, 11, 3, 0, 6, 11, 0, 9, 6, 5, 6, 9, 1, 2, 10, X},
    {11, 8, 5, 11, 5, 6, 8, 0, 5, 10, 5, 2, 0, 2, 5, X},
    {6, 11, 3, 6, 3, 5, 2, 10, 3, 10, 5, 3, X, X, X, X},
    {5, 8, 9, 5, 2, 8, 5, 6, 2, 3, 8, 2, X, X, X, X},
    {9, 5, 6, 9, 6, 0, 0, 6, 2, X, X, X, X, X, X, X},
    {1, 5, 8, 1, 8, 0, 5, 6, 8, 3, 8, 2, 6, 2, 8, X},
    {1, 5, 6, 2, 1, 6, X, X, X, X, X, X, X, X, X, X},
    {1, 3, 6, 1, 6, 10, 3, 8, 6, 5, 6, 9, 8, 9, 6, X},
    {10, 1, 0, 10, 0, 6, 9, 5, 0, 5, 6, 0, X, X, X, X},
    {0, 3, 8, 5, 6, 10, X, X, X, X, X, X, X, X, X, X},
    {10, 5, 6, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {11, 5, 10, 7, 5, 11, X, X, X, X, X, X, X, X, X, X},
    {11, 5, 10, 11, 7, 5, 8, 3, 0, X, X, X, X, X, X, X},
    {5, 11, 7, 5, 10, 11, 1, 9, 0, X, X, X, X, X, X, X},
    {10, 7, 5, 10, 11, 7, 9, 8, 1, 8, 3, 1, X, X, X, X},
    {11, 1, 2, 11, 7, 1, 7, 5, 1, X, X, X, X, X, X, X},
    {0, 8, 3, 1, 2, 7, 1, 7, 5, 7, 2, 11, X, X, X, X},
    {9, 7, 5, 9, 2, 7, 9, 0, 2, 2, 11, 7, X, X, X, X},
    {7, 5, 2, 7, 2, 11, 5, 9, 2, 3, 2, 8, 9, 8, 2, X},
    {2, 5, 10, 2, 3, 5, 3, 7, 5, X, X, X, X, X, X, X},
    {8, 2, 0, 8, 5, 2, 8, 7, 5, 10, 2, 5, X, X, X, X},
    {9, 0, 1, 5, 10, 3, 5, 3, 7, 3, 10, 2, X, X, X, X},
    {9, 8, 2, 9, 2, 1, 8, 7, 2, 10, 2, 5, 7, 5, 2, X},
    {1, 3, 5, 3, 7, 5, X, X, X, X, X, X, X, X, X, X},
    {0, 8, 7, 0, 7, 1, 1, 7, 5, X, X, X, X, X, X, X},
    {9, 0, 3, 9, 3, 5, 5, 3, 7, X, X, X, X, X, X, X},
    {9, 8, 7, 5, 9, 7, X, X, X, X, X, X, X, X, X, X},
    {5, 8, 4, 5, 10, 8, 10, 11, 8, X, X, X, X, X, X, X},
    {5, 0, 4, 5, 11, 0, 5, 10, 11, 11, 3, 0, X, X, X, X},
    {0, 1, 9, 8, 4, 10, 8, 10, 11, 10, 4, 5, X, X, X, X},
    {10, 11, 4, 10, 4, 5, 11, 3, 4, 9, 4, 1, 3, 1, 4, X},
    {2, 5, 1, 2, 8, 5, 2, 11, 8, 4, 5, 8, X, X, X, X},
    {0, 4, 11, 0, 11, 3, 4, 5, 11, 2, 11, 1, 5, 1, 11, X},
    {0, 2, 5, 0, 5, 9, 2, 11, 5, 4, 5, 8, 11, 8, 5, X},
    {9, 4, 5, 2, 11, 3, X, X, X, X, X, X, X, X, X, X},
    {2, 5, 10, 3, 5, 2, 3, 4, 5, 3, 8, 4, X, X, X, X},
    {5, 10, 2, 5, 2, 4, 4, 2, 0, X, X, X, X, X, X, X},
    {3, 10, 2, 3, 5, 10, 3, 8, 5, 4, 5, 8, 0, 1, 9, X},
    {5, 10, 2, 5, 2, 4, 1, 9, 2, 9, 4, 2, X, X, X, X},
    {8, 4, 5, 8, 5, 3, 3, 5, 1, X, X, X, X, X, X, X},
    {0, 4, 5, 1, 0, 5, X, X, X, X, X, X, X, X, X, X},
    {8, 4, 5, 8, 5, 3, 9, 0, 5, 0, 3, 5, X, X, X, X},
    {9, 4, 5, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {4, 11, 7, 4, 9, 11, 9, 10, 11, X, X, X, X, X, X, X},
    {0, 8, 3, 4, 9, 7, 9, 11, 7, 9, 10, 11, X, X, X, X},
    {1, 10, 11, 1, 11, 4, 1, 4, 0, 7, 4, 11, X, X, X, X},
    {3, 1, 4, 3, 4, 8, 1, 10, 4, 7, 4, 11, 10, 11, 4, X},
    {4, 11, 7, 9, 11, 4, 9, 2, 11, 9, 1, 2, X, X, X, X},
    {9, 7, 4, 9, 11, 7, 9, 1, 11, 2, 11, 1, 0, 8, 3, X},
    {11, 7, 4, 11, 4, 2, 2, 4, 0, X, X, X, X, X, X, X},
    {11, 7, 4, 11, 4, 2, 8, 3, 4, 3, 2, 4, X, X, X, X},
    {2, 9, 10, 2, 7, 9, 2, 3, 7, 7, 4, 9, X, X, X, X},
    {9, 10, 7, 9, 7, 4, 10, 2, 7, 8, 7, 0, 2, 0, 7, X},
    {3, 7, 10, 3, 10, 2, 7, 4, 10, 1, 10, 0, 4, 0, 10, X},
    {1, 10, 2, 8, 7, 4, X, X, X, X, X, X, X, X, X, X},
    {4, 9, 1, 4, 1, 7, 7, 1, 3, X, X, X, X, X, X, X},
    {4, 9, 1, 4, 1, 7, 0, 8, 1, 8, 7, 1, X, X, X, X},
    {4, 0, 3, 7, 4, 3, X, X, X, X, X, X, X, X, X, X},
    {4, 8, 7, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {9, 10, 8, 10, 11, 8, X, X, X, X, X, X, X, X, X, X},
    {3, 0, 9, 3, 9, 11, 11, 9, 10, X, X, X, X, X, X, X},
    {0, 1, 10, 0, 10, 8, 8, 10, 11, X, X, X, X, X, X, X},
    {3, 1, 10, 11, 3, 10, X, X, X, X, X, X, X, X, X, X},
    {1, 2, 11, 1, 11, 9, 9, 11, 8, X, X, X, X, X, X, X},
    {3, 0, 9, 3, 9, 11, 1, 2, 9, 2, 11, 9, X, X, X, X},
    {0, 2, 11, 8, 0, 11, X, X, X, X, X, X, X, X, X, X},
    {3, 2, 11, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {2, 3, 8, 2, 8, 10, 10, 8, 9, X, X, X, X, X, X, X},
    {9, 10, 2, 0, 9, 2, X, X, X, X, X, X, X, X, X, X},
    {2, 3, 8, 2, 8, 10, 0, 1, 8, 1, 10, 8, X, X, X, X},
    {1, 10, 2, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {1, 3, 8, 9, 1, 8, X, X, X, X, X, X, X, X, X, X},
    {0, 9, 1, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {0, 3, 8, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X}};
#undef X

// Table mapping each edge to the corresponding cube vertices offsets
const uint _EDGE_TO_VERTICES[12][2] = {
    {0, 1},
    {1, 5},
    {4, 5},
    {0, 4},
    {2, 3},
    {3, 7},
    {6, 7},
    {2, 6},
    {0, 2},
    {1, 3},
    {5, 7},
    {4, 6},
};

// Table mapping from 0-7 to v0-v7 in cube.vertices
const int _INDEX_TABLE[8] = {0, 1, 5, 4, 2, 3, 7, 6};
